Answer
2 imaginary solutions
Work Step by Step
The given equation is equivalent to $9x^2-6x+4=0$. Using the discriminant, $b^2-4ac$, then
\begin{array}{l}
(-6)^2-4(9)(4)
\\\\=
36-144
\\\\=
-108
.\end{array}
Since the discriminant is less than 0, then the given equation has 2 imaginary solutions.